Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

## Results (29 matches)

Label Dim $A$ Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7 13
3822.2.a.a $1$ $30.519$ $$\Q$$ None $$-1$$ $$-1$$ $$-3$$ $$0$$ $+$ $+$ $-$ $+$ $$q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{8}+\cdots$$
3822.2.a.b $1$ $30.519$ $$\Q$$ None $$-1$$ $$-1$$ $$-2$$ $$0$$ $+$ $+$ $-$ $+$ $$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots$$
3822.2.a.g $1$ $30.519$ $$\Q$$ None $$-1$$ $$-1$$ $$1$$ $$0$$ $+$ $+$ $-$ $+$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$$
3822.2.a.h $1$ $30.519$ $$\Q$$ None $$-1$$ $$-1$$ $$2$$ $$0$$ $+$ $+$ $-$ $+$ $$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots$$
3822.2.a.k $1$ $30.519$ $$\Q$$ None $$-1$$ $$1$$ $$-2$$ $$0$$ $+$ $-$ $+$ $+$ $$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{8}+\cdots$$
3822.2.a.l $1$ $30.519$ $$\Q$$ None $$-1$$ $$1$$ $$-1$$ $$0$$ $+$ $-$ $-$ $-$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$$
3822.2.a.m $1$ $30.519$ $$\Q$$ None $$-1$$ $$1$$ $$-1$$ $$0$$ $+$ $-$ $-$ $-$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$$
3822.2.a.p $1$ $30.519$ $$\Q$$ None $$-1$$ $$1$$ $$2$$ $$0$$ $+$ $-$ $-$ $-$ $$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots$$
3822.2.a.q $1$ $30.519$ $$\Q$$ None $$-1$$ $$1$$ $$2$$ $$0$$ $+$ $-$ $-$ $-$ $$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots$$
3822.2.a.r $1$ $30.519$ $$\Q$$ None $$1$$ $$-1$$ $$-3$$ $$0$$ $-$ $+$ $-$ $-$ $$q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}+q^{8}+\cdots$$
3822.2.a.t $1$ $30.519$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$0$$ $-$ $+$ $-$ $-$ $$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\cdots$$
3822.2.a.u $1$ $30.519$ $$\Q$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $-$ $+$ $+$ $+$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$$
3822.2.a.v $1$ $30.519$ $$\Q$$ None $$1$$ $$-1$$ $$1$$ $$0$$ $-$ $+$ $-$ $-$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$$
3822.2.a.w $1$ $30.519$ $$\Q$$ None $$1$$ $$-1$$ $$1$$ $$0$$ $-$ $+$ $-$ $-$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$$
3822.2.a.x $1$ $30.519$ $$\Q$$ None $$1$$ $$-1$$ $$2$$ $$0$$ $-$ $+$ $-$ $-$ $$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots$$
3822.2.a.z $1$ $30.519$ $$\Q$$ None $$1$$ $$-1$$ $$4$$ $$0$$ $-$ $+$ $-$ $-$ $$q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+q^{8}+\cdots$$
3822.2.a.bd $1$ $30.519$ $$\Q$$ None $$1$$ $$1$$ $$-2$$ $$0$$ $-$ $-$ $-$ $+$ $$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\cdots$$
3822.2.a.bg $1$ $30.519$ $$\Q$$ None $$1$$ $$1$$ $$3$$ $$0$$ $-$ $-$ $-$ $+$ $$q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}+q^{8}+\cdots$$
3822.2.a.bh $1$ $30.519$ $$\Q$$ None $$1$$ $$1$$ $$3$$ $$0$$ $-$ $-$ $+$ $-$ $$q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}+q^{8}+\cdots$$
3822.2.a.bi $2$ $30.519$ $$\Q(\sqrt{7})$$ None $$-2$$ $$-2$$ $$2$$ $$0$$ $+$ $+$ $-$ $+$ $$q-q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots$$
3822.2.a.bm $2$ $30.519$ $$\Q(\sqrt{57})$$ None $$-2$$ $$2$$ $$1$$ $$0$$ $+$ $-$ $-$ $-$ $$q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots$$
3822.2.a.bs $2$ $30.519$ $$\Q(\sqrt{2})$$ None $$2$$ $$2$$ $$0$$ $$0$$ $-$ $-$ $+$ $-$ $$q+q^{2}+q^{3}+q^{4}+\beta q^{5}+q^{6}+q^{8}+\cdots$$
3822.2.a.bt $2$ $30.519$ $$\Q(\sqrt{41})$$ None $$2$$ $$2$$ $$1$$ $$0$$ $-$ $-$ $-$ $+$ $$q+q^{2}+q^{3}+q^{4}+\beta q^{5}+q^{6}+q^{8}+\cdots$$
3822.2.a.bu $2$ $30.519$ $$\Q(\sqrt{2})$$ None $$2$$ $$2$$ $$4$$ $$0$$ $-$ $-$ $-$ $+$ $$q+q^{2}+q^{3}+q^{4}+(2+\beta )q^{5}+q^{6}+\cdots$$
3822.2.a.bv $3$ $30.519$ 3.3.2700.1 None $$-3$$ $$-3$$ $$3$$ $$0$$ $+$ $+$ $+$ $-$ $$q-q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots$$
3822.2.a.bx $4$ $30.519$ 4.4.10304.1 None $$-4$$ $$-4$$ $$-6$$ $$0$$ $+$ $+$ $+$ $-$ $$q-q^{2}-q^{3}+q^{4}+(-2+\beta _{1})q^{5}+q^{6}+\cdots$$
3822.2.a.by $4$ $30.519$ 4.4.10304.1 None $$-4$$ $$4$$ $$6$$ $$0$$ $+$ $-$ $+$ $+$ $$q-q^{2}+q^{3}+q^{4}+(1+\beta _{1})q^{5}-q^{6}+\cdots$$
3822.2.a.bz $4$ $30.519$ 4.4.31808.1 None $$4$$ $$-4$$ $$2$$ $$0$$ $-$ $+$ $+$ $+$ $$q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}+q^{8}+\cdots$$
3822.2.a.ca $4$ $30.519$ 4.4.31808.1 None $$4$$ $$4$$ $$-2$$ $$0$$ $-$ $-$ $+$ $-$ $$q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1})q^{5}+q^{6}+\cdots$$